TSTP Solution File: SYN918+1 by ET---2.0
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- Process Solution
%------------------------------------------------------------------------------
% File : ET---2.0
% Problem : SYN918+1 : TPTP v8.1.0. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_ET %s %d
% Computer : n007.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 600s
% DateTime : Thu Jul 21 06:06:11 EDT 2022
% Result : Theorem 0.23s 1.42s
% Output : CNFRefutation 0.23s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 1
% Syntax : Number of formulae : 15 ( 3 unt; 0 def)
% Number of atoms : 77 ( 0 equ)
% Maximal formula atoms : 22 ( 5 avg)
% Number of connectives : 91 ( 29 ~; 28 |; 20 &)
% ( 0 <=>; 14 =>; 0 <=; 0 <~>)
% Maximal formula depth : 19 ( 5 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-1 aty)
% Number of functors : 1 ( 1 usr; 1 con; 0-0 aty)
% Number of variables : 29 ( 6 sgn 15 !; 4 ?)
% Comments :
%------------------------------------------------------------------------------
fof(prove_this,conjecture,
( ( ! [X1] :
( ( ( f(X1)
& g(X1) )
=> h(X1) )
=> ? [X2] :
( f(X2)
& ~ g(X2) ) )
& ( ! [X3] :
( f(X3)
=> g(X3) )
| ! [X4] :
( f(X4)
=> h(X4) ) ) )
=> ( ! [X5] :
( ( f(X5)
& h(X5) )
=> g(X5) )
=> ? [X6] :
( f(X6)
& g(X6)
& ~ h(X6) ) ) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',prove_this) ).
fof(c_0_1,negated_conjecture,
~ ( ( ! [X1] :
( ( ( f(X1)
& g(X1) )
=> h(X1) )
=> ? [X2] :
( f(X2)
& ~ g(X2) ) )
& ( ! [X3] :
( f(X3)
=> g(X3) )
| ! [X4] :
( f(X4)
=> h(X4) ) ) )
=> ( ! [X5] :
( ( f(X5)
& h(X5) )
=> g(X5) )
=> ? [X6] :
( f(X6)
& g(X6)
& ~ h(X6) ) ) ),
inference(assume_negation,[status(cth)],[prove_this]) ).
fof(c_0_2,negated_conjecture,
! [X7,X7,X7,X9,X10,X11,X12] :
( ( f(esk1_0)
| f(X7) )
& ( ~ g(esk1_0)
| f(X7) )
& ( f(esk1_0)
| g(X7) )
& ( ~ g(esk1_0)
| g(X7) )
& ( f(esk1_0)
| ~ h(X7) )
& ( ~ g(esk1_0)
| ~ h(X7) )
& ( ~ f(X9)
| g(X9)
| ~ f(X10)
| h(X10) )
& ( ~ f(X11)
| ~ h(X11)
| g(X11) )
& ( ~ f(X12)
| ~ g(X12)
| h(X12) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[c_0_1])])])])])])])]) ).
cnf(c_0_3,negated_conjecture,
( f(X1)
| f(esk1_0) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_4,negated_conjecture,
( ~ h(X1)
| ~ g(esk1_0) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_5,negated_conjecture,
( h(X1)
| ~ g(X1)
| ~ f(X1) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_6,negated_conjecture,
( f(X1)
| ~ g(esk1_0) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_7,negated_conjecture,
( g(X1)
| ~ g(esk1_0) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_8,negated_conjecture,
( h(X1)
| g(X2)
| ~ f(X1)
| ~ f(X2) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_9,negated_conjecture,
f(esk1_0),
inference(ef,[status(thm)],[c_0_3]) ).
cnf(c_0_10,negated_conjecture,
~ g(esk1_0),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_4,c_0_5]),c_0_6]),c_0_7]) ).
cnf(c_0_11,negated_conjecture,
( g(X1)
| ~ h(X1)
| ~ f(X1) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_12,negated_conjecture,
( h(X1)
| ~ f(X1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_8,c_0_9]),c_0_10]) ).
cnf(c_0_13,negated_conjecture,
( g(X1)
| ~ f(X1) ),
inference(spm,[status(thm)],[c_0_11,c_0_12]) ).
cnf(c_0_14,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_10,c_0_13]),c_0_9])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : SYN918+1 : TPTP v8.1.0. Released v3.1.0.
% 0.07/0.13 % Command : run_ET %s %d
% 0.14/0.35 % Computer : n007.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 600
% 0.14/0.35 % DateTime : Mon Jul 11 19:02:33 EDT 2022
% 0.14/0.35 % CPUTime :
% 0.23/1.42 # Running protocol protocol_eprover_4a02c828a8cc55752123edbcc1ad40e453c11447 for 23 seconds:
% 0.23/1.42 # SinE strategy is GSinE(CountFormulas,hypos,1.4,,04,100,1.0)
% 0.23/1.42 # Preprocessing time : 0.013 s
% 0.23/1.42
% 0.23/1.42 # Proof found!
% 0.23/1.42 # SZS status Theorem
% 0.23/1.42 # SZS output start CNFRefutation
% See solution above
% 0.23/1.42 # Proof object total steps : 15
% 0.23/1.42 # Proof object clause steps : 12
% 0.23/1.42 # Proof object formula steps : 3
% 0.23/1.42 # Proof object conjectures : 15
% 0.23/1.42 # Proof object clause conjectures : 12
% 0.23/1.42 # Proof object formula conjectures : 3
% 0.23/1.42 # Proof object initial clauses used : 7
% 0.23/1.42 # Proof object initial formulas used : 1
% 0.23/1.42 # Proof object generating inferences : 5
% 0.23/1.42 # Proof object simplifying inferences : 5
% 0.23/1.42 # Training examples: 0 positive, 0 negative
% 0.23/1.42 # Parsed axioms : 1
% 0.23/1.42 # Removed by relevancy pruning/SinE : 0
% 0.23/1.42 # Initial clauses : 9
% 0.23/1.42 # Removed in clause preprocessing : 0
% 0.23/1.42 # Initial clauses in saturation : 9
% 0.23/1.42 # Processed clauses : 14
% 0.23/1.42 # ...of these trivial : 0
% 0.23/1.42 # ...subsumed : 1
% 0.23/1.42 # ...remaining for further processing : 13
% 0.23/1.42 # Other redundant clauses eliminated : 0
% 0.23/1.42 # Clauses deleted for lack of memory : 0
% 0.23/1.42 # Backward-subsumed : 4
% 0.23/1.42 # Backward-rewritten : 2
% 0.23/1.42 # Generated clauses : 15
% 0.23/1.42 # ...of the previous two non-trivial : 13
% 0.23/1.42 # Contextual simplify-reflections : 3
% 0.23/1.42 # Paramodulations : 13
% 0.23/1.42 # Factorizations : 2
% 0.23/1.42 # Equation resolutions : 0
% 0.23/1.42 # Current number of processed clauses : 7
% 0.23/1.42 # Positive orientable unit clauses : 1
% 0.23/1.42 # Positive unorientable unit clauses: 0
% 0.23/1.42 # Negative unit clauses : 1
% 0.23/1.42 # Non-unit-clauses : 5
% 0.23/1.42 # Current number of unprocessed clauses: 2
% 0.23/1.42 # ...number of literals in the above : 2
% 0.23/1.42 # Current number of archived formulas : 0
% 0.23/1.42 # Current number of archived clauses : 6
% 0.23/1.42 # Clause-clause subsumption calls (NU) : 8
% 0.23/1.42 # Rec. Clause-clause subsumption calls : 8
% 0.23/1.42 # Non-unit clause-clause subsumptions : 6
% 0.23/1.42 # Unit Clause-clause subsumption calls : 4
% 0.23/1.42 # Rewrite failures with RHS unbound : 0
% 0.23/1.42 # BW rewrite match attempts : 1
% 0.23/1.42 # BW rewrite match successes : 1
% 0.23/1.42 # Condensation attempts : 0
% 0.23/1.42 # Condensation successes : 0
% 0.23/1.42 # Termbank termtop insertions : 765
% 0.23/1.42
% 0.23/1.42 # -------------------------------------------------
% 0.23/1.42 # User time : 0.014 s
% 0.23/1.42 # System time : 0.000 s
% 0.23/1.42 # Total time : 0.014 s
% 0.23/1.42 # Maximum resident set size: 2764 pages
%------------------------------------------------------------------------------